Pith Number

pith:QGH5AJIP

pith:2015:QGH5AJIPIKSC6TNKL5I2DI2W5K

not attested not anchored not stored refs pending

Global Convergence of a Grassmannian Gradient Descent Algorithm for Subspace Estimation

Dejiao Zhang, Laura Balzano

arxiv:1506.07405 v3 · 2015-06-24 · cs.NA · math.NA · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGH5AJIPIKSC6TNKL5I2DI2W5K}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:11:55.131389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

818fd0250f42a42f4daa5f51a1a356ea8797e604f8ded21eb488fe72714a5eb2

Aliases

arxiv: 1506.07405 · arxiv_version: 1506.07405v3 · doi: 10.48550/arxiv.1506.07405 · pith_short_12: QGH5AJIPIKSC · pith_short_16: QGH5AJIPIKSC6TNK · pith_short_8: QGH5AJIP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QGH5AJIPIKSC6TNKL5I2DI2W5K \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 818fd0250f42a42f4daa5f51a1a356ea8797e604f8ded21eb488fe72714a5eb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b92525015780d421f9813061b397384eaf10a041dcfb242d61e928023086b442",
    "cross_cats_sorted": [
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2015-06-24T14:59:27Z",
    "title_canon_sha256": "b598ff3c7e77f46142c7961af5abcd7105b458853e92de473c07f3a02fac3ae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07405",
    "kind": "arxiv",
    "version": 3
  }
}